The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective

被引:291
作者
Damski, B
机构
[1] Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany
[2] Jagiellonian Univ, Inst Phys, PL-30059 Krakow, Poland
关键词
D O I
10.1103/PhysRevLett.95.035701
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It can be shown that the dynamics of the Landau-Zener model can be accurately described in terms of the Kibble-Zurek theory of the topological defect production in nonequilibrium phase transitions. The simplest quantum model exhibiting the Kibble-Zurek mechanism is presented. A new intuitive description of Landau-Zener dynamics is found.
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页数:4
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共 22 条
[1]   Vortex string formation in a 3D U(1) temperature quench [J].
Antunes, ND ;
Bettencourt, LMA ;
Zurek, WH .
PHYSICAL REVIEW LETTERS, 1999, 82 (14) :2824-2827
[2]   Laboratory simulation of cosmic string formation in the early Universe using superfluid He-3 [J].
Bauerle, C ;
Bunkov, YM ;
Fisher, SN ;
Godfrin, H ;
Pickett, GR .
NATURE, 1996, 382 (6589) :332-334
[3]   THE COSMOLOGICAL KIBBLE MECHANISM IN THE LABORATORY - STRING FORMATION IN LIQUID-CRYSTALS [J].
BOWICK, MJ ;
CHANDAR, L ;
SCHIFF, EA ;
SRIVASTAVA, AM .
SCIENCE, 1994, 263 (5149) :943-945
[4]   Changes of the topological charge of vortices [J].
Damski, B ;
Sacha, K .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (09) :2339-2345
[5]   Dynamics of quantum phase transition in an array of Josephson junctions [J].
Dziarmaga, J ;
Smerzi, A ;
Zurek, WH ;
Bishop, AR .
PHYSICAL REVIEW LETTERS, 2002, 88 (16) :4-167001
[6]  
DZIARMAGA J, 2003, PATTERNS SYMMETRY BR
[7]   TOPOLOGY OF COSMIC DOMAINS AND STRINGS [J].
KIBBLE, TWB .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1976, 9 (08) :1387-1398
[8]   SOME IMPLICATIONS OF A COSMOLOGICAL PHASE-TRANSITION [J].
KIBBLE, TWB .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1980, 67 (01) :183-199
[9]   Density of kinks after a quench: When symmetry breaks, how big are the pieces? [J].
Laguna, P ;
Zurek, WH .
PHYSICAL REVIEW LETTERS, 1997, 78 (13) :2519-2522
[10]  
Landau L.D., 1958, QUANTUM MECH